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We review the remarkable relationship between the laws of black hole mechanics and the ordinary laws of thermodynamics. It is emphasized that - in analogy with the laws of thermodynamics - the validity the laws of black hole mechanics does…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

We use the analytic continuation procedure proposed in our earlier works to study the thermodynamics of black holes in 2+1 dimensions. A general black hole in 2+1 dimensions has g handles hidden behind h horizons. The result of the analytic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kirill Krasnov

A comprehensive treatment of black hole thermodynamics in two-dimensional dilaton gravity is presented. We derive an improved action for these theories and construct the Euclidean path integral. An essentially unique boundary counterterm…

High Energy Physics - Theory · Physics 2010-10-27 Daniel Grumiller , Robert McNees

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

Some very interesting solutions of the field equations of Einstein's general theory of relativity have been constructed in the framework of nonlinear electrodynamics. In particular, magnetically charged black hole solutions in the framework…

General Relativity and Quantum Cosmology · Physics 2019-04-12 Askar Ali , Khalid Saifullah

The essential singularity in Einstein's gravity can be avoidable if the preconditions of Penrose's theorem can be bypassed, i.e., if the strong energy condition is broken in the vicinity of a black hole center. The singularity mentioned…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Chen Lan , Hao Yang , Yang Guo , Yan-Gang Miao

The paper is a brief review on the existence and basic properties of static, spherically symmetric regular black hole solutions of general relativity, where the source of gravity is represented by nonlinear electromagnetic fields with the…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Kirill A. Bronnikov

Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon.…

High Energy Physics - Theory · Physics 2010-11-01 Sandip P. Trivedi

Black holes are among the most well-known astrophysical objects, yet their physical realisation remains conceptually subtle. We analyse physical black holes -- light-trapping regions that form in finite time as seen by a distant observer --…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Ioannis Soranidis , Daniel R. Terno

In this paper, we extend the study on the nonlinear power-law Maxwell field to dilaton gravity. We introduce the $(n+1)$-dimensional action in which gravity is coupled to a dilaton and power-law nonlinear Maxwell field, and obtain the field…

General Relativity and Quantum Cosmology · Physics 2015-05-06 M. Kord Zangeneh , A. Sheykhi , M. H. Dehghani

In this paper, we investigate a generalization of Kiselev black holes by introducing a varying equation of state parameter for the anisotropic fluid surrounding the black hole. We extend this model by allowing $w$ in the expression…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Luis C. N. Santos

Conformal electrodynamics is a particularly interesting example of power Maxwell non-linear electrodynamics, designed to possess conformal symmetry in all dimensions. In this paper, we propose a regularized version of Conformal…

General Relativity and Quantum Cosmology · Physics 2024-04-23 David Kubiznak , Otakar Svítek , Tayebeh Tahamtan

We show that an analytical continuation of the Vuorio solution to three-dimensional topologically massive gravity leads to a two-parameter family of black hole solutions, which are geodesically complete and causally regular within a certain…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karim Ait Moussa , Gerard Clement , Cedric Leygnac

In this work, we study the existence of regular black holes solutions with multihorizons in general relativity and in some alternative theories of gravity. We consider the coupling between the gravitational theory and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-06-17 Manuel E. Rodrigues , Marcos V. de S. Silva

We study the dynamics of isolated closed domain walls with 3+1 numerical relativity. A closed wall shrinks due to its own surface tension, and its surface energy is converted to the kinetic energy, leading to implosion. Then, it can result…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Naoya Kitajima

In this paper, for dimensionally continued gravity coupled to Born-Infeld electromagnetic field, we construct topological black holes in diverse dimensions and construct dyonic black holes in general even dimensions. We study thermodynamics…

General Relativity and Quantum Cosmology · Physics 2018-03-26 Kun Meng , Da-Bao Yang

A (2+1)-static black hole solution with a nonlinear electric field is derived. The source to the Einstein equations is a nonlinear electrodynamics, satisfying the weak energy conditions, and it is such that the energy momentum tensor is…

High Energy Physics - Theory · Physics 2009-10-31 M. Cataldo , N. Cruz , S. del Campo , A. Garcia

We perform the gauge covariant quantization of the exponential model of nonlinear electrodynamics. Magnetically charged black holes, in the framework of our model are considered, and the regular black hole solution is obtained in general…

General Relativity and Quantum Cosmology · Physics 2017-03-14 S. I. Kruglov

When two point particles, coupled to three dimensional gravity with a negative cosmological constant, approach each other with a sufficiently large center of mass energy, then a BTZ black hole is created. An explicit solution to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hans-Juergen Matschull

We use the Noether symmetry approach to find $f(R)$ theory of $(2+1)$ dimensional gravity and $(2+1)$ dimensional black hole solution consistent with this $f(R)$ gravity and the associated symmetry. We obtain $f({R})=D_1…

General Relativity and Quantum Cosmology · Physics 2015-06-15 F. Darabi , K. Atazadeh , A. Rezaei-Aghdam